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An efficient tabu search approach for the 0-1 multidimensional knapsack problem

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  • Hanafi, Said
  • Freville, Arnaud

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  • Hanafi, Said & Freville, Arnaud, 1998. "An efficient tabu search approach for the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 106(2-3), pages 659-675, April.
    • Handle: RePEc:eee:ejores:v:106:y:1998:i:2-3:p:659-675
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    1. James H. Lorie & Leonard J. Savage, 1955. "Three Problems in Rationing Capital," The Journal of Business, University of Chicago Press, vol. 28, pages 229-229.
    2. Freville, A. & Plateau, G., 1986. "Heuristics and reduction methods for multiple constraints 0-1 linear programming problems," European Journal of Operational Research, Elsevier, vol. 24(2), pages 206-215, February.
    3. Fred Glover, 1989. "Tabu Search---Part I," INFORMS Journal on Computing, INFORMS, vol. 1(3), pages 190-206, August.
    4. Egon Balas & Clarence H. Martin, 1980. "Pivot and Complement--A Heuristic for 0-1 Programming," Management Science, INFORMS, vol. 26(1), pages 86-96, January.
    5. P. C. Gilmore & R. E. Gomory, 1966. "The Theory and Computation of Knapsack Functions," Operations Research, INFORMS, vol. 14(6), pages 1045-1074, December.
    6. Clifford C. Petersen, 1967. "Computational Experience with Variants of the Balas Algorithm Applied to the Selection of R&D Projects," Management Science, INFORMS, vol. 13(9), pages 736-750, May.
    7. Charles E. Gearing & William W. Swart & Turgut Var, 1973. "Determining the Optimal Investment Policy for the Tourism Sector of a Developing Country," Management Science, INFORMS, vol. 20(4-Part-I), pages 487-497, December.
    8. Richard Bellman, 1957. "On a Dynamic Programming Approach to the Caterer Problem--I," Management Science, INFORMS, vol. 3(3), pages 270-278, April.
    9. Shizuo Senju & Yoshiaki Toyoda, 1968. "An Approach to Linear Programming with 0-1 Variables," Management Science, INFORMS, vol. 15(4), pages 196-207, December.
    10. Roberto Battiti & Giampietro Tecchiolli, 1994. "The Reactive Tabu Search," INFORMS Journal on Computing, INFORMS, vol. 6(2), pages 126-140, May.
    11. Jae Sik Lee & Monique Guignard, 1988. "Note---An Approximate Algorithm for Multidimensional Zero-One Knapsack Problems---A Parametric Approach," Management Science, INFORMS, vol. 34(3), pages 402-410, March.
    12. Fred Glover, 1995. "Tabu Thresholding: Improved Search by Nonmonotonic Trajectories," INFORMS Journal on Computing, INFORMS, vol. 7(4), pages 426-442, November.
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    Cited by:

    1. S Salhi & A Al-Khedhairi, 2010. "Integrating heuristic information into exact methods: The case of the vertex p-centre problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(11), pages 1619-1631, November.
    2. Vasquez, Michel & Vimont, Yannick, 2005. "Improved results on the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 165(1), pages 70-81, August.
    3. Guillermo Cabrera-Guerrero & Carolina Lagos & Carolina Castañeda & Franklin Johnson & Fernando Paredes & Enrique Cabrera, 2017. "Parameter Tuning for Local-Search-Based Matheuristic Methods," Complexity, Hindawi, vol. 2017, pages 1-15, December.
    4. João Claro & Jorge Sousa, 2010. "A multiobjective metaheuristic for a mean-risk static stochastic knapsack problem," Computational Optimization and Applications, Springer, vol. 46(3), pages 427-450, July.
    5. Lai, Xiangjing & Hao, Jin-Kao & Yue, Dong, 2019. "Two-stage solution-based tabu search for the multidemand multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 274(1), pages 35-48.
    6. Dimitris Bertsimas & Ramazan Demir, 2002. "An Approximate Dynamic Programming Approach to Multidimensional Knapsack Problems," Management Science, INFORMS, vol. 48(4), pages 550-565, April.
    7. Blum, Christian & Ochoa, Gabriela, 2021. "A comparative analysis of two matheuristics by means of merged local optima networks," European Journal of Operational Research, Elsevier, vol. 290(1), pages 36-56.
    8. Balev, Stefan & Yanev, Nicola & Freville, Arnaud & Andonov, Rumen, 2008. "A dynamic programming based reduction procedure for the multidimensional 0-1 knapsack problem," European Journal of Operational Research, Elsevier, vol. 186(1), pages 63-76, April.
    9. Al-Shihabi, Sameh, 2021. "A Novel Core-Based Optimization Framework for Binary Integer Programs- the Multidemand Multidimesional Knapsack Problem as a Test Problem," Operations Research Perspectives, Elsevier, vol. 8(C).
    10. Paola Cappanera & Marco Trubian, 2005. "A Local-Search-Based Heuristic for the Demand-Constrained Multidimensional Knapsack Problem," INFORMS Journal on Computing, INFORMS, vol. 17(1), pages 82-98, February.
    11. Freville, Arnaud, 2004. "The multidimensional 0-1 knapsack problem: An overview," European Journal of Operational Research, Elsevier, vol. 155(1), pages 1-21, May.
    12. Bahram Alidaee & Vijay P. Ramalingam & Haibo Wang & Bryan Kethley, 2018. "Computational experiment of critical event tabu search for the general integer multidimensional knapsack problem," Annals of Operations Research, Springer, vol. 269(1), pages 3-19, October.
    13. Uno, Takeshi & Katagiri, Hideki, 2008. "Single- and multi-objective defensive location problems on a network," European Journal of Operational Research, Elsevier, vol. 188(1), pages 76-84, July.
    14. Saïd Hanafi & Christophe Wilbaut, 2011. "Improved convergent heuristics for the 0-1 multidimensional knapsack problem," Annals of Operations Research, Springer, vol. 183(1), pages 125-142, March.
    15. Fortin, Dominique & Tsevendorj, Ider, 2004. "Global optimization and multi knapsack: A percolation algorithm," European Journal of Operational Research, Elsevier, vol. 154(1), pages 46-56, April.
    16. Wilbaut, Christophe & Salhi, Saïd & Hanafi, Saïd, 2009. "An iterative variable-based fixation heuristic for the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 199(2), pages 339-348, December.
    17. Yagiura, Mutsunori & Kishida, Masahiro & Ibaraki, Toshihide, 2006. "A 3-flip neighborhood local search for the set covering problem," European Journal of Operational Research, Elsevier, vol. 172(2), pages 472-499, July.
    18. Arnaud Fréville & SaÏd Hanafi, 2005. "The Multidimensional 0-1 Knapsack Problem—Bounds and Computational Aspects," Annals of Operations Research, Springer, vol. 139(1), pages 195-227, October.
    19. Yoon, Yourim & Kim, Yong-Hyuk & Moon, Byung-Ro, 2012. "A theoretical and empirical investigation on the Lagrangian capacities of the 0-1 multidimensional knapsack problem," European Journal of Operational Research, Elsevier, vol. 218(2), pages 366-376.

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